Provide an Appropriate Response $\lim _ { x \rightarrow 1 ^ { - } } f ( x ) = 1$

Multiple Choice

Provide an appropriate response.
-If $\lim _ { x \rightarrow 1 ^ { - } } f ( x ) = 1$ , $\lim _ { x \rightarrow 1 ^ { + } } f ( x ) = - 1$ , and $f ( x )$ is an even function, which of the following statements are true?
I. $\lim _ { x \rightarrow 1 ^ { - } } f ( x ) = - 1$
II. $\lim _ { x \rightarrow 1 ^ { + } } f ( x ) = - 1$
III. $\lim _ { x \rightarrow 1 } f ( x )$ does not exist.

A) I and III only
B) I and II only
C) I, II, and III
D) II and III only